Fwd: What is this product?

[franktaw at netscape.net]

((p-1)/p)^(1/p) = 1 - 1/p^2 + O(1/p^3), so it's not zero. 
 
Numerically, it's about 0.55987. I see no obvious candidate for an 
exact expression. 
 
Franklin T. Adams-Watters 
 
-----Original Message----- 
From: davidwwilson at comcast.net 
 
What is PROD(prime p; ((p-1)/p)^(1/p))?  Is it 0 or positive? 
  
It might be interpreted as the expected value of phi(n)/n for very 
large n. 

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(This was accidentailly sent only to David, instead of the whole list.)
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